Answer:
∠1 = 72°
Step-by-step explanation:
Complementary angles sum to 90°, thus
∠1 + ∠2 = 90, substitute ∠1 = 4∠2 , thus
4∠2 + ∠2 = 90
5∠2 = 90 ( divide both sides by 5 )
∠2 = 18°
Hence ∠1 = 90 - 18 = 72°
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2nd attempt carries a price of 6% extra, so (6/100) * 548 is 32.88, so 548 + 32.88, the price is 580.88.
for the 3rd attempt 6% extra of that, (6/100) * 580.88, is 34.8528, so the price is 615.7328.
4th attempt is 6% extra of that, (6/100) * 615.7328, 36.943968, adding that will give us 652.676768.
: $55
:
Cost first 3 lines: $11 per line
Cost per additional line: $5
We are interested in 5-line ad, we place 3 lines or less, then we have to pay $11 per line in the ad.
Cost 5-lines = number of lines x cost per line
x = 5 x 11
55
There are 651.335 million cells in the petri dish after 11 hours and the cells will reach 1 billion cells after 14.068 hours
<h3>How to determine the number of cells after 11 hours?</h3>
The given parameters are:
At t = 0, Bacteria = 140 million
At t = 6, Bacteria = 320 million
This can be represented as:
f(0) = 140
f(6) = 320
An exponential function is represented as:
f(t) = f(0) * r^t
When t = 6, we have:
320 = 140 * r^6
Divide both sides by 140
r^6 = 2.28571428571
Take the 6th root of both sides
r = 1.15
So, we have:
f(t) = f(0) * 1.15^t
Substitute f(0) = 140
f(t) = 140 * 1.15^t
After 11 hours, we have:
f(11) = 140 * 1.15^11
Evaluate
f(11) = 651.33
Hence, there are 651.335 million cells in the petri dish after 11 hours
Time to reach 1 billion cells
This means that
f(t) = 1 billion i.e. 1000 million
So, we have:
1000 = 140 * 1.15^t
Divide by 140
1.15^t = 7.14285714286
Take the logarithm of both sides
t * log(1.15) = log(7.14285714286)
Divide both sides by log(1.15)
t = 14.068
Hence, the cells will reach 1 billion cells after 14.068 hours
Read more about exponential functions at:
brainly.com/question/2456547
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